Bummer.
I bought an ancient farmhouse on an exposed ridgetop and have been in your shoes a few times. Here are some thoughts to maintain a rosy outlook on life...
1. While you're defrosting it, figure out how to prevent it in the future. Insulate (I bet you can get a great deal on pool noodles) the hell out of it and block the exposure to air while you're motivated! Once fixed, I wasn't as motivated and had to repeat the process knowing full well that I could have prevented it if I would have done it right the first (couple of) time(s). Awesome effect on my positive outlook... fixing it multiple times...
2. Since you're going to the hardware store anyhow, get the stuff you need to install a drain valve.
3. Get enough stuff to fix it twice. When your shit freezes, so does everyone else's. There's a mad rush at the store, and all of the fittings will be in random boxes on the shelf. Be prepared for that realization to help reinforce your positive outlook, by the way.
4. Get a contractor's pack of those little propane tanks with an extra couple of torch heads.
Hope you make the best of it, and Merry (f'in) Christmas!